stats choose one

Please choose one of the following topics:

(1) You need to use technology to find the P-value for the hypothesis testing. It may be your TI calculator, Excel, or online calculaotors. What technology do you use? Please use an example to show the steps on how you leverage the technology. 

(2) If n=16, sample mean = 75, sample standard deviation s = 8. The hypotheses are Ho: μ = 80  and Ha: μ <80. What is the test statistic? Please show your work.

(3) If n=16, sample proportion = 0.2. The hypotheses are Ho: p = 0.19  and Ha: p > 0.19. What is the test statistic? Please show your work. 

(4) We would like to perform a two-tailed hypothesis test about proportion at significance level of 0.05.  The test statistic is already calculated for us, and the value is 2.1.  We know that there are 100 observations in the sample. What is the P-value? Do we have sufficient evidence to reject the null hypothesis? Why? Please show work. 

(5) We would like to perform a two-tailed hypothesis test about mean at significance level of 0.05.  The test statistic is already calculated for us, and the value is 2.1. We know that there are 25 observations in the random sample. The population is normally distributed,  but the population standard deviation is unknown. What is the P-value? Do we have sufficient evidence to reject the null hypothesis? Why? Please show work. 

(6) We would like to perform a right-tailed hypothesis test about mean at significance level of 0.05.  The test statistic is already calculated for us, and the value is 2.1. We know that there are 25 observations in the random sample. The population is normally distributed, with population standard deviation of 0.5. What is the P-value? Do we have sufficient evidence to reject the null hypothesis? Why? Please show work.